Given 15 cot A = 8, find sin A and sec A.

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ 15 cot A = 8 ⇒ cot A = Let us draw a right angle triangle ABC. We know that, cot A = Substituting values we get, Let AB = 8k and BC = 15k. By pythagoras theorem, ⇒ AC² = AB² + BC² ⇒ AC² = (8k)² + (15k)² ⇒ AC² = 64k² + 225k² ⇒ AC² = 289k² ⇒ AC = = 17k. We know that, sin A = . sec A = . Hence, .

Mathematics

Given 15 cot A = 8, find sin A and sec A.

Trigonometric Identities

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